Quotients premiers deOq(mn(k))

✍ Scribed by G. Cauchon

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 206 KB
• Volume: 180
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1996.0081

✦ Synopsis

Consider a field k, some nonzero element q of k which is not a root of unity, and some nonnegative integer n. K. R. Goodearl and E. S. Letzter have proved Ž . 1991, Prime factor algebras of the coordinate ring of quantum matrices, preprint Ž Ž .. that any prime factor algebra of the coordinate ring O ᒊ k of quantum n = n q n matrices over k is a domain. In that paper it is proved that the division ring of fractions of such a domain is always isomorphic to the division ring of fractions of the coordinate ring of some quantum space of dimension at most n 2 over some field K which is an extension of k. A similar result is also proved for quantum Weyl algebras.